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Error Bounds for the Difference of Two Convex Multifunctions
Authors:Hui Huang  Runxin Li
Institution:1. Department of Mathematics, Yunnan University, Kunming, 650091, People’s Republic of China
2. Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, 650091, People’s Republic of China
Abstract:In this paper, we consider error bounds for DC multifunctions (difference of two convex multifunctions) with/without set constraints. We give some Robinson-Ursescu type results in Banach spaces. Using some techniques of convex analysis, we present some results on the existence of error bounds in terms of normal cone and coderivative.
Keywords:
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